Sketch the graph of y=x^2-x and find the minimum value of y.

Answer 1

Y = x^2 - x.
h = Xv = -B/2A = 1/2.
k = Yv = (1/2)^2 - 1/2 = -1/4 = -0.25.
V(h,k) = V(1/2,-1/4).

Ymin = k = -1/4.

Use the following points for graphing:

(X,Y).
(-2,6)
(-1,2)
(0,0)
V(1/2,-1/4)
(1,0)
(2,2)
(3,6)